✅
C8h | E | C8 | C4 | (C8)3 | C2 | (C8)5 | (C4)3 | (C8)7 | i | (S8)5 | (S4)3 | (S8)7 | σh | S8 | S4 | (S8)3 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Bg | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 |
E1g* | 1 1 |
ε* ε* |
i -i |
-ε* -ε* |
-1 -1 |
-ε* -ε* |
-i i |
ε* ε* |
1 1 |
ε* ε* |
i -i |
-ε* -ε* |
-1 -1 |
-ε* -ε* |
-i i |
ε* ε* |
E2g* | 1 1 |
i -i |
-1 -1 |
-i i |
1 1 |
i -i |
-1 -1 |
-i i |
1 1 |
i -i |
-1 -1 |
-i i |
1 1 |
i -i |
-1 -1 |
-i i |
E3g* | 1 1 |
-ε* -ε* |
-i i |
ε* ε* |
-1 -1 |
ε* ε* |
i -i |
-ε* -ε* |
1 1 |
-ε* -ε* |
-i i |
ε* ε* |
-1 -1 |
ε* ε* |
i -i |
-ε* -ε* |
Au | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
Bu | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 |
E1u* | 1 1 |
ε* ε* |
i -i |
-ε* -ε* |
-1 -1 |
-ε* -ε* |
-i i |
ε* ε* |
-1 -1 |
-ε* -ε* |
-i i |
ε* ε* |
1 1 |
ε* ε* |
i -i |
-ε* -ε* |
E2u* | 1 1 |
i -i |
-1 -1 |
-i i |
1 1 |
i -i |
-1 -1 |
-i i |
-1 -1 |
-i i |
1 1 |
i -i |
-1 -1 |
-i i |
1 1 |
i -i |
E3u* | 1 1 |
-ε* -ε* |
-i i |
ε* ε* |
-1 -1 |
ε* ε* |
i -i |
-ε* -ε* |
-1 -1 |
ε* ε* |
i -i |
-ε* -ε* |
1 1 |
-ε* -ε* |
-i i |
ε* ε* |
Number of symmetry elements | h = 16 |
Number of classes, irreps | n = 16 |
Number of real-valued irreducible representations | n = 10 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |